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Alborosie
3 years ago
12

What is the value of a?

Mathematics
2 answers:
Dvinal [7]3 years ago
8 0

Answer:

<h2>6√2</h2>

Step-by-step explanation:

ΔEBD and ΔEDC are similar. Therefore the sides are in proportion:

\dfrac{DE}{EB}=\dfrac{EC}{DE}

We have:

DE = a

EB = 18

EC = 4

Substitute:

\dfrac{a}{18}=\dfrac{4}{a}            <em>cross multiply</em>

(a)(a)=(18)(4)\\\\a^2=72\to a=\sqrt{72}\\\\a=\sqrt{36\cdot2}\\\\a=\sqrt{36}\cdot\sqrt2\\\\a=6\sqrt2

Nana76 [90]3 years ago
5 0

Answer:

a^2 = 18 * 4

a^2 = 72

a = 6√2

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